APPROXIMATION OF SOLUTION OF LINEAR DIFFERENTIAL EQUATION WITH ALMOST PERIOD FUNCTION COEFFICIENTS |
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| Authors: | Cai Haitao P/M Key State Laboratory |
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| Institution: | Cai Haitao P/M Key State Laboratory,Department of Applied Mathematics Central South University of Technology,Changsha 410083,China Huang Boyun Department of Applied Mathematics,Central South University of Technology,Changsha 410083,China |
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| Abstract: | This paper is devoted to the study of approximation of the solution for the differential equation whose coefficients are almost period functions. To this end the authors establish the estimation of the solution of general linear differential equation for infinite interval case. For finite interval case, this equation was investigated by G. Tamarkin1] applying the Picard method of successive approximation. |
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| Keywords: | Approximation almost period function Picard method of successive approximation |
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